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arXiv 1509.03389cs.AIcs.DScs.GT
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Multi-Attribute Proportional Representation

Université Paris-Dauphine(巴黎多芬大学);University of Warsaw(华沙大学)

Jerome Lang, Piotr Skowron

英文摘要:

We consider the following problem in which a given number of items has to be chosen from a predefined set. Each item is described by a vector of attributes and for each attribute there is a desired distribution that the selected set should have. We look for a set that fits as much as possible the desired distributions on all attributes. Examples of applications include choosing members of a representative committee, where candidates are described by attributes such as sex, age and profession, and where we look for a committee that for each attribute offers a certain representation, i.e., a single committee that contains a certain number of young and old people, certain number of men and women, certain number of people with different professions, etc. With a single attribute the problem collapses to the apportionment problem for party-list proportional representation systems (in such case the value of the single attribute would be a political affiliation of a candidate). We study the properties of the associated subset selection rules, as well as their computation complexity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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